Types of afforested surfaces

Nakai, Mitsuru; Segawa, Shigeo

Kodai Math. J., Tome 32 (2009) no. 1, p. 109-116 / Harvested from Project Euclid

Résumé

We form, what we call, an afforested surface R over a plantation P by foresting with trees T_n (n $\in$ N: the set of positive integers). If all of P and T_n (n $\in$ N) belong to the class ${\mathcal O}_s$ of hyperbolic Riemann surfaces W carrying no singular harmonic functions on W, then we will show that, under a certain diminishing condition on roots of trees T_n (n $\in$ N), the afforested surface R also belongs to ${\mathcal O}_s$ .

Publié le : 2009-03-15
Classification:

@article{1238594549,
     author = {Nakai, Mitsuru and Segawa, Shigeo},
     title = {Types of afforested surfaces},
     journal = {Kodai Math. J.},
     volume = {32},
     number = {1},
     year = {2009},
     pages = { 109-116},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1238594549}
}

Nakai, Mitsuru; Segawa, Shigeo. Types of afforested surfaces. Kodai Math. J., Tome 32 (2009) no. 1, pp.  109-116. http://gdmltest.u-ga.fr/item/1238594549/